簡約 90e^{-0.08*1/2}

解

簡約

90 e^{- 0.08 \cdot \frac{1}{2}}

86.47104 \dots

解答ステップ

90 e^{- 0.08 \cdot \frac{1}{2}}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= 90 \cdot \frac{1}{e ^{0.08 \cdot \frac{1}{2}}}

\frac{1}{e ^{0.08 \cdot \frac{1}{2}}} = \frac{1}{e ^{0.04}}

= 90 \cdot \frac{1}{e ^{0.04}}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 90}{e ^{0.04}}

数を乗じる:

1 \cdot 90 = 90

= \frac{90}{e ^{0.04}}

e^{0.04} = 1.04081 \dots

= \frac{90}{1.04081 \dots}

数を割る:

\frac{90}{1.04081 \dots} = 86.47104 \dots

= 86.47104 \dots